For any linear function f(x) = mx + b, when does kf(x) = f(kx)?

Answer: 20%

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

If the ratio between the volumes of the first and the second cube is 64, the ratio between the sides is the cubic root of the ratio between the volumes, so:

\(V1 / V2 = 64\)

\(s1 / s2 = \sqrt[3]{64} = 4\)

Doing the same for the second and third cubes, we have:

\(V2 / V3 = 1/27\)

\(s2/ s3 = \sqrt[3]{1/27} = 1/3\)

So the ratio of the first cube side and the third cube side is:

\(s1 / s3 = (s1/s2) * (s2/s3) = 4 * (1/3) = 4/3\)

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

To know more about determine visit:

https://brainly.com/question/29898039

#SPJ11

Answer:

Step-by-step explanation:

To solve a stoichiometry problem, the first thing you must do is identify the given and desired quantities. This involves understanding the balanced chemical equation and determining the substances involved.

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. The given quantities are the information provided in the problem, such as the mass, volume, or moles of a particular substance. The desired quantity is what you are trying to find. By identifying these quantities, you can determine the appropriate conversion factors and set up the necessary calculations to solve the problem.

For example, if the problem gives you the mass of a reactant and asks for the volume of a product, you would start by identifying the given mass and the desired volume. From the balanced chemical equation, you can determine the molar ratio between the reactant and product. This ratio allows you to convert the given mass to moles, and then use the molar ratio to convert moles of the reactant to moles of the product. Finally, you can convert the moles of the product to the desired volume using the appropriate conversion factor, such as the molar volume of a gas at a given temperature and pressure.

Learn more about Stoichiometry here

brainly.com/question/28780091

#SPJ11

After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

Know more about revenue:

https://brainly.com/question/27325673

#SPJ11

Answer:

O C. 5.76 in2

Step-by-step explanation:

To find the area of a square, the formula is

length x width = area

length = 2.4

width = 2.4

2.4in x 2.4in = 5.76 in2

in2 is the part of the answer since  in x in = in2

Answer:

(5,-8)

Step-by-step explanation:

5x+2y=9

-2y      -2y

5x=-2y+9

^divided that by 5 on both sides

x=-2/5y+9/5

4x-3y=44

4(-2/5y+9/5)-3y=44

-23/5y+36/5=44

^add -36/5 on both sides

-23/5y=184/5

^divded -23/5 on both sides

y=-8

x=-2/5(-8)+9/5

x=5

Answer:

x = -9 also called undefined slope.

Step-by-step explanation:

And if the line is like this ____________ it is zero slope and the equation is the number that is passes through the y- intercept.

Hope this helps.

x = -9

Answer:

x=-9

I hope this is good enough:

Step-by-step explanation:

Answer is case 1st:

P(of white button) = 9/13

P(of black button) = 4/12

Case 2nd

P(of black button) = 4/13

P(of white button) = 9/12

Explanation

Given: A Question

To find: Probability

Solution :Case 1st

If carol takes the first button is white

P(of picking a white button) = 9/13

And

P(of picking a black button) = 4/12

Case 2nd

If carol takes the first button is black

So, P(of picking a black button) = 4/13

And P( of picking a white button) = 9/12

Answer:

B

Step-by-step explanation:

x² - 12x + 11 = 0 ( subtract 11 from both sides )

x² - 12x = - 11

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 11 + 36

(x - 6)² = 25 ( take square root of both sides )

x - 6 = ± \(\sqrt{25}\) = ± 5 ( add 6 to both sides )

x = 6 ± 5

Then

x = 6 - 5 = 1 ⇒ (1, 0 )

x = 6 + 5 = 11 ⇒ (11, 0 )

Answer: (a) It appears to take the same amount of time to serve each customer.  Predicted amount of time to serve 9 customers: 27

(b) Each dollar spent appears to earn the same number of points. 80 points : $8

Answer:   $68.37

Hope this helps;)

Answer:

Cost before tip: $68.34

Cost after tip: $78.59

Step-by-step explanation:

Please see attached image. Calculations are executed in black. Answers are highlighted in blue. Solution explanation is provided in red. Implicit/'skip-over' steps are in green.

~~

Hope this helps.

Answer:

Rectangles! Nice.

Step-by-step explanation:

This is a very simple problem. Let's first represent the width of the rectangle as the variable x.

Then, we know that the length of the triangle is x+2. See where I'm going with this?

The formula for the perimeter of an rectangle is \(P=2*Length+2*Width\).

All we have to do next is just input our values for the length and width, and you'll be golden!

\(56=2(x+2)+2(x)\\56=4x+4\)

Next to subtract 4 from both sides and then to divide by 4!

\(52=4x\\x=13\)

There's your answer! Don't know why Brainly is bugged right now.

NOTE: If you can't read the answer above, the width is 13cm. This also means that the length is 15cm.

Hope this helps!

Stay safe!

Answer:

>

Step-by-step explanation:

The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.

If the measures of the three angles of a triangle are x, x + 10, and 2x - 6, the triangle must be isosceles.

In a triangle, the sum of the angles is always 180 degrees. Therefore, we can set up the equation:

x + (x + 10) + (2x - 6) = 180

Combine the terms:

4x + 4 = 180

Subtract 4 from both sides:

4x = 176

Divide by 4:

x = 44

Now, we can find the measures of the other two angles:

x + 10 = 44 + 10 = 54
2x - 6 = 2(44) - 6 = 88 - 6 = 82

The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.

Learn more about angles here:

https://brainly.com/question/28451077

#SPJ11

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

To learn more about Hypothesis test - brainly.com/question/29996729

#SPJ11

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

To learn more about Hypothesis test - brainly.com/question/29996729

#SPJ11

Answer:

3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.

P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

To know more about substitute visit

https://brainly.com/question/29383142

#SPJ11

Answer:

-21 ÷ b = 3, b =        b=-7

3c + 1 = 10, c =        c=1/7

Hope this helps!

The Z score that is equivalent to the raw score 92.5 is B. -1.25.

A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:

Z = (92.5 - 100) / 15

Z = -7.5 / 15

Z = -0.5

Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.

The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.

Learn more about  distribution

brainly.com/question/29664127

#SPJ11

The equation of the graphed parabola is y=a (x + 3) ^2 -4.

Given that parabola is plotted, concave upwards, with vertex located at coordinates (-3, -4).

   According to the question, we need to find the equation of the graphed parabola.

The equation of a quadratic function of vertex (h, k) is given by y=a + k

In the above equation the leading coefficient is "a"

We are given point (-3, -4).

We need to put the value of h=-3 and k=-4 and the required equation, and we will get the equation as: -

y=a (x + 3) ^2 -4

    Therefore, the equation of the parabola that is plotted, concave up, with vertex located at coordinates (-3, -4) is y=a (x + 3) ^2 -4.

Learn more about parabola at,

https://brainly.com/question/28098240

#SPJ4

Minimum value = 3, Q1 = 4, Median = 6, Q3 = 10.5, Maximum value = 15.

Minimum value = 3

To find Q1 (the first quartile):

Arrange the data in ascending order: 3, 4, 4, 6, 6, 8, 9, 12, 15

Find the median of the lower half of the data: 3, 4, 4, 6, 6 → median = 4

Q1 is the median of the lower half of the data: Q1 = 4

Median (second quartile) = 6

To find Q3 (the third quartile):

Arrange the data in ascending order: 3, 4, 4, 6, 6, 8, 9, 12, 15

Find the median of the upper half of the data: 8, 9, 12, 15 → median = 10.5

Q3 is the median of the upper half of the data: Q3 = 10.5

Maximum value = 15

Therefore, the statistical measures for the given data set are:

Minimum value = 3, Q1 = 4, Median = 6, Q3 = 10.5, Maximum value = 15.

Learn more about median here

brainly.com/question/15545979

#SPJ4

The given question is incomplete, the complete question is:

Answer the statistical measures for the following set of data.3,4,4,6,6,8,9,12,15. Fill in the blanks. Minimum value =  , Q₁ =  , Median = , Q₃ = and maximum value =  of the given data set.

answer 5y - 12 = 8.

In order to use the subtraction property of equality to solve equations, the subtraction of the same quantity should be done on both sides of the equation.

Here are the equations in which you can use the subtraction property of equality to solve:7x + 2 = 25-2y = 10-4r = 28-1/3p = 15+9z = -27

The only equation from the options given in the question is 5y - 12 = 8. So, we can use the subtraction property of equality to solve this equation as follows:5y - 12 = 8Add 12 to both sides5y - 12 + 12 = 8 + 125y = 20Divide both sides by 55y/5 = 20/5y = 4 Therefore, the equation in which we can use the subtraction property of equality to solve is 5y - 12 = 8.

You can read more about equations at https://brainly.com/question/22688504

#SPJ11

Answer:

It’s B

Step-by-step explanation:

Answer:

i think the answer is c because it has to do with the congruence of porportional relationships

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc PQ is 60°

Answer:

\(\boxed {\boxed {\sf Arc \ { PQ } = \ 60 \ degrees}}\)

Step-by-step explanation:

The angle that forms arc PQ is a central angle, because the angle's vertex is at the center of the circle.

According to arc-angle relationships, the measure of a central angle is equal to the arc.

Since the central angle is equal to 60 degrees, arc PQ is also equal to 60 degrees.

Answer:

92.18 feet

Step-by-step explanation:

t(n)=125(.97)^x

t(10)=124(.97)^10

Sequence cant have partial or discrete bounce

Answer:

92.18 ft

Step-by-step explanation:

The rebound ratio 0.97 means the ball will rebound 97% of its height on the previous bounce.

Bounce    Height

1                125(0.97) = 121.25

2               125(0.97)(0.97) = 117.6125

3               125(0.97)(0.97)(0.97) = 114.084125

See a pattern?

Bounce     Height

1                125(0.97)

2               125(0.97)^2

3               125(0.97)^3    the exponent matches the bounce number

Tenth bounce:

10             125(0.97)^10 = 92.18 (rounded to 2 places)

The area of a regular hexagon = (3√3 / 2) × s²  Where, The apothem is a line drawn from the center of a polygon to the midpoint of one of its sides.

s = side of the hexagon.

Area of the hexagon = (3√3 / 2) × s² Area of hexagon with side 3 meters = (3√3 / 2) × 3²

= (3√3 / 2) × 9

= 4.5 × 9 × √3

= 40.5 √3 sq. meters

Hence, the area of the hexagonal planter is 40.5 √3 sq. meters A hexagon is a six-sided figure with six angles. A planter is shaped like a regular hexagon. It has six sides with a length of 3 meters each. The apothem is 5.2 meters long. The apothem is a line drawn from the center of a polygon to the midpoint of one of its sides.

The apothem divides the hexagon into six congruent triangles. Since the hexagon is regular, all six triangles are congruent. The formula for finding the area of a regular hexagon is as follows: Area of hexagon = (3√3 / 2) × s²Where, s is the length of the side of the hexagon. In this case, the side length is 3 meters. Thus, substituting s = 3 in the formula,

Area of hexagon = (3√3 / 2) × 3²

= (3√3 / 2) × 9

= 4.5 × 9 × √3

= 40.5 √3 sq. meters Therefore, the area of the hexagonal planter is 40.5 √3 sq. meters.

To know more about hexagon visit:

https://brainly.com/question/29762907

#SPJ11

Answer:

y does not depend on x - it is not a function

That leaves (2) or (4)

Since one does not need y in the equation (4) is eliminated

(2) is the only possible result

For example:        x = 5

Answer:

x = 3 and y= -6 or (3, -6)

Step-by-step explanation:

-3(3x + 2y = -3)                        3x + 2(-6) = -3                

9x + 4y = 3                              3x -12 = -3

                                               3x = 9

-9x - 6y = 9                             x = 3

9x +4y = 3

-2y = 12

y = -6